Plz help me!!!

The measure of one angle is 13 less than five times The measure of another angle. The sum of the measure of the two angles is 14

kodGreya [7K]

$\huge\boxed{a=\frac{229}{2};\ \ b=\frac{51}{2}}$

<em>In decimal form, a = 114.5; b = 25.5</em>

We will write this as a system of equations, where $a$ and $b$ are the two angles.

$\left \{ {{a=5b-13} \atop {a+b=140}} \right$

We will use substitution to solve this system. We know what $a$ equals, so we plug that into the second equation.

$5b-13+b=140$

Combine the like terms.

$6b-13=140$

Add $13$ on both sides.

$6b=153$

Divide both sides by $6$ .

$b=\frac{153}{6}=\boxed{\frac{51}{2}}$

Now just subtract that from $140$ .

$a=140-\frac{51}{2}=\boxed{\frac{229}{2}}$

7 0

3 years ago

You have 4 cards, 2 black and 2 red. You play a game where during each round you draw a card. If it's black, you lose a point. I

sineoko [7]

Answer: The expected value of this game is 2/3

Step-by-step explanation:

Give that

If it's black, you lose a point. If it's red, you gain a point.

And then you can stop at any time. But you should never stop when you are losing because that can guarantee 0 by drawing all the cards.

Assuming you should stop after three cards when you are +2.

The only question is whether to draw if you are +1 on the first draw.

If you draw red first, You have 1/3 chance of drawing red again and this will give you +2 points

1/3 chance of drawing two blacks and earn zero point, chance of drawing black-red and earn +1. This gives +1, so it doesn't matter whether you draw or not.

From the beginning, If you draw red (probability 1/2 you end +1. If you draw black and then draw two reds (probability 1/6 you end +1) Otherwise you break even with probability 1/3. Overall, the value is 2/3

8 0

3 years ago

Math help please thanks due soon

dezoksy [38]

Problem 11

Answer: Angle C and angle F

Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.

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Problem 12

Answer: 100 degrees

Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.

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Problem 13

Answer: 80 degrees

Explanation: This was mentioned earlier in problem 11.

============================================

Problem 14

Answers: complement = 50, supplement = 140

Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.

7 0

3 years ago

Please help me: w+7/8=3/4 Show you're work

KengaRu [80]

Answer:

w = -1/8

Step-by-step explanation:

-1/8 is like taking 1/8 from 7/8 making it 6/8 which = 3/4

8 0

3 years ago

Adam wanted to play his video games. His mother told him that he needed to finish his homework, clean out the dishwasher, and cl

11Alexandr11 [23.1K]

Answer:

2 hours and 28 mins

Step-by-step explanation:

75-15=60=1 hour remain 15 mins

45+14=63-3=60=1 hour remain 3 mins

3+25=28 mins remain 0 mins

total= 2hours and 28 mins

plz mark me brainly .

3 0

3 years ago